Subtract 1/2 (z + 4) - 3 (1/4z + 1)
To subtract the expression 1/2 (z + 4) - 3 (1/4z + 1), we distribute the coefficients and then combine like terms.
1/2 (z + 4) - 3 (1/4z + 1) = 1/2 * z + 1/2 * 4 - 3 * 1/4 * z - 3 * 1
= 1/2 * z + 2/2 - 3/4 * z - 3
= (1/2 - 3/4) * z + 2/2 - 3
To simplify further, we need to find a common denominator for 1/2 and 3/4. The least common multiple of 2 and 4 is 4.
(1/2 - 3/4) * z + 2/2 - 3 = (2/4 - 3/4) * z + 1 - 3
= -1/4 * z + 1 - 3
= -1/4 * z - 2
Therefore, the simplified expression is -1/4 * z - 2.